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Finding the Fourth Proportional to 501.33, 691.84 and 280.28

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Solution

The fourth proportional to 501.33, 691.84 and 280.28 is: 386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.33 : 691.84 = 280.28 : x
  2. Step 2: Convert to fraction form
    501.33/691.84 = 280.28/x
  3. Step 3: Cross multiply
    501.33x = 691.84 × 280.28
  4. Step 4: Simplify right side
    501.33x = 193,908.92
  5. Step 5: Solve for x
    x = 193,908.92/501.33
  6. Step 6: Final answer
    x = 386.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.